Greatest Common Factor of 3550/28, 1250/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3550/28, 1250/662

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 3550/28,1250/662

Given fractions are 3550/28,1250/662

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 3550,1250

Greatest Common Factor of Numerators i.e. GCF of 3550,1250 is 50 .

LCM of Denominators means LCM of 28,662 as per the given fractions.

LCM of 28,662 is 9268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3550,1250

GCF of Fractions 3550/28,1250/662 is 50/9268

2 3550, 1250
5 1775, 625
5 355, 125
71, 25

∴ So the GCF of the given numbers is 2 x 5 x 5 = 50

Greatest Common Factor of 3550,1250 By Matching Biggest Common Factor Method

Greatest Common Factor of 3550,1250 By Matching Biggest Common Factor Method

Factors of 3550

List of positive integer factors of 3550 that divides 3550 without a remainder.

1,2,5,10,25,50,71,142,355,710,1775,3550

Factors of 1250

List of positive integer factors of 1250 that divides 1250 without a remainder.

1,2,5,10,25,50,125,250,625,1250

Greatest Common Factor

We found the factors 3550,1250 . The biggest common factor number is the GCF number.
So the greatest common factor 3550,1250 is 50.

Lets's calculate LCM of 28,662

2 28, 662
14, 331

∴ So the LCM of the given numbers is 2 x 14 x 331 = 9268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/9268

Therefore, the GCF of Fractions 3550/28,1250/662 is 50/9268

Least Common Multiple of 28,662 with GCF Formula

Least Common Multiple of 28,662 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 28,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,662) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(28,662) x common factors =2 x 1 = 2

LCM(28,662) = ( 28 × 662 ) / 2

LCM(28,662) = 18536 / 2

LCM(28,662) = 9268


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3550/28, 1250/662

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 3550/28, 1250/662?

Answer: GCF of Numerators as per given numbers 3550/28, 1250/662 is

GCF of Numerators i.e. for 3550,1250 is 50

LCM of denominators i.e. for 28,662 is 9268.

Thus, GCF of Fractions is 50/9268.Finally, GCF of Fractions for 3550/28, 1250/662 is 50/9268.